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2dcc38d7bf
This adds two templated 3D math classes. They have already been typedf'd as FloatVector3, DoubleVector3, FloatMatrix4x4 and DoubleMatrix4x4
118 lines
3.8 KiB
C++
118 lines
3.8 KiB
C++
/*
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* Copyright (c) 2020, Stephan Unverwerth <s.unverwerth@gmx.de>
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions are met:
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*
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* 1. Redistributions of source code must retain the above copyright notice, this
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* list of conditions and the following disclaimer.
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*
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* 2. Redistributions in binary form must reproduce the above copyright notice,
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* this list of conditions and the following disclaimer in the documentation
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* and/or other materials provided with the distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
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* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
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* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
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* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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#pragma once
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#include <LibGfx/Vector3.h>
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#include <math.h>
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namespace Gfx {
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template<typename T>
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class Matrix4x4 final {
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public:
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Matrix4x4() = default;
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Matrix4x4(T _11, T _12, T _13, T _14,
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T _21, T _22, T _23, T _24,
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T _31, T _32, T _33, T _34,
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T _41, T _42, T _43, T _44)
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: m_elements {
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_11, _12, _13, _14,
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_21, _22, _23, _24,
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_31, _32, _33, _34,
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_41, _42, _43, _44
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}
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{
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}
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Matrix4x4 operator*(const Matrix4x4& other) const
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{
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Matrix4x4 product;
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for (int i = 0; i < 4; ++i) {
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for (int j = 0; j < 4; ++j) {
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product.m_elements[i][j] = m_elements[0][j] * other.m_elements[i][0]
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+ m_elements[1][j] * other.m_elements[i][1]
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+ m_elements[2][j] * other.m_elements[i][2]
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+ m_elements[3][j] * other.m_elements[i][3];
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}
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}
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return product;
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}
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Vector3<T> transform_point(const Vector3<T>& p) const
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{
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return Vector3<T>(
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p.x() * m_elements[0][0] + p.y() * m_elements[1][0] + p.z() * m_elements[2][0] + m_elements[3][0],
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p.x() * m_elements[0][1] + p.y() * m_elements[1][1] + p.z() * m_elements[2][1] + m_elements[3][1],
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p.x() * m_elements[0][2] + p.y() * m_elements[1][2] + p.z() * m_elements[2][2] + m_elements[3][2]);
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}
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static Matrix4x4 translate(const Vector3<T>& p)
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{
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return Matrix4x4(
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1, 0, 0, 0,
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0, 1, 0, 0,
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0, 0, 1, 0,
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p.x(), p.y(), p.z(), 1);
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}
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static Matrix4x4 scale(const Vector3<T>& s)
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{
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return Matrix4x4(
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s.x(), 0, 0, 0,
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0, s.y(), 0, 0,
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0, 0, s.z(), 0,
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0, 0, 0, 1);
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}
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static Matrix4x4 rotate(const Vector3<T>& axis, T angle)
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{
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T c = cos(angle);
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T s = sin(angle);
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T t = 1 - c;
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T x = axis.x();
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T y = axis.y();
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T z = axis.z();
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return Matrix4x4(
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t * x * x + c, t * x * y - z * s, t * x * z + y * s, 0,
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t * x * y + z * s, t * y * y + c, t * y * z - x * s, 0,
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t * x * z - y * s, t * y * z + x * s, t * z * z + c, 0,
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0, 0, 0, 1);
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}
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private:
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T m_elements[4][4];
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};
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typedef Matrix4x4<float> FloatMatrix4x4;
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typedef Matrix4x4<double> DoubleMatrix4x4;
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}
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using Gfx::DoubleMatrix4x4;
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using Gfx::FloatMatrix4x4;
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using Gfx::Matrix4x4;
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